Question

2men or 3women can do a piece of work in 16 days. In how many days can 4 men and 6women do the same work?

Answer 1

Hi friend,

This is an inverse variation problem-

In inverse proportion we will solve as-

2 men 3 women(5 persons)=16 days
4 men 6 women(10persons)= ? days let it be x

5*16=10*x
5*16/10=x
x=8 days

So 4 men and 6 women will do a work in 8 days.

Hope it helped you.........................

Answer 2

1 day work of 2 men = 1/16
1 day work of 1 man = 1/16/2 = 1/32
1 day work of 4 men = 4/32 = 1/8

1day work of 3 women = 1/16
1 day work of 1 women = 1/16/3 = 1/48
1 day work of 6 women = 6/48=1/8

1 day work of 4 men and 6 women
= 1/8 + 1/8
=2/8
=1/4

there the work will be done in 4 days